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Finding the Fourth Proportional to 703.13, 1,054.69 and 318.38

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Solution

The fourth proportional to 703.13, 1,054.69 and 318.38 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.13 : 1,054.69 = 318.38 : x
  2. Step 2: Convert to fraction form
    703.13/1,054.69 = 318.38/x
  3. Step 3: Cross multiply
    703.13x = 1,054.69 × 318.38
  4. Step 4: Simplify right side
    703.13x = 335,786.13
  5. Step 5: Solve for x
    x = 335,786.13/703.13
  6. Step 6: Final answer
    x = 477.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.